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5868500 = 225311297
BaseRepresentation
bin10110011000101111010100
3102001011001212
4112120233110
53000243000
6325440552
7100611221
oct26305724
912034055
105868500
113349100
121b70158
1312a61b1
14aca948
157adc35
hex598bd4

5868500 has 72 divisors (see below), whose sum is σ = 14233128. Its totient is φ = 2112000.

The previous prime is 5868487. The next prime is 5868509. The reversal of 5868500 is 58685.

It can be written as a sum of positive squares in 4 ways, for example, as 327184 + 5541316 = 572^2 + 2354^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5868509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60452 + ... + 60548.

Almost surely, 25868500 is an apocalyptic number.

5868500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5868500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116564).

5868500 is an abundant number, since it is smaller than the sum of its proper divisors (8364628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5868500 is a wasteful number, since it uses less digits than its factorization.

5868500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 5868500 is about 2422.4987100100. The cubic root of 5868500 is about 180.3747337210.

Multiplying 5868500 by its reverse (58685), we get a square (344392922500 = 5868502).

5868500 divided by its reverse (58685) gives a square (100 = 102).

The spelling of 5868500 in words is "five million, eight hundred sixty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 97 100 110 121 125 194 220 242 250 275 388 484 485 500 550 605 970 1067 1100 1210 1375 1940 2134 2420 2425 2750 3025 4268 4850 5335 5500 6050 9700 10670 11737 12100 12125 15125 21340 23474 24250 26675 30250 46948 48500 53350 58685 60500 106700 117370 133375 234740 266750 293425 533500 586850 1173700 1467125 2934250 5868500